Question 44

A thin uniform rod, of length $$\ell = 0.200\,\text{m}$$ with negligible mass, is attached to the floor by a frictionless hinge at a fixed point $$P$$. A horizontal spring connects the other end of the rod to a vertical wall. The rod is in a uniform magnetic field $$B = 0.500\,\text{T}$$ directed into the plane of paper. There is a current $$i = 10.0\,\text{A}$$ in the rod in the direction shown. Force constant of the spring is $$5.00\,\text{N m}^{-1}$$. The rod is in equilibrium at $$\theta = \tan^{-1}\left(\frac{4}{3}\right)$$. Statement $$1$$ Torque on the rod due to magnetic force is $$0.1\,\text{N m}$$ clockwise. Statement $$2$$ In equilibrium the energy stored in the spring is $$0.039\,\text{J}$$.

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